We give some conditions ensuring that a light mapping $f:X\rightarrow Y$ between compacta must be injective on a non-trivial continuum and we discuss related questions concerning the invariance of strong infinite-dimensionality.
"On light mappings without perfect fibers on compacta." Tsukuba J. Math. 20 (1) 11 - 19, June 1996. https://doi.org/10.21099/tkbjm/1496162972